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Rakesh's and Shanu's present ages are in the ratio 5: X. Shailu is 9 years older than Rakesh. Shailu will be 33 years of age after 9 years. The difference between the ages of Shanu and Rakesh is the same as Shailu's present age. What should be the value of X?
15
20
13
17
14
- Let's determine Rakesh's present age. Shailu's age after 9 years will be 33, so Shailu is now 33 - 9 = 24 years old.
- Rakesh's present age is 24 - 9 = 15 years because Shailu is 9 years older than Rakesh.
- Now, Shanu's age minus Rakesh's age equals Shailu's current age. Therefore, the difference is 24 years.
- Let Rakesh's current age be 5k, so Shanu's age is 5k + 24 years; this can be rewritten in the ratio as 5:X, equating to (5k):(5k + 24).
- Since Rakesh's age is 15, we substitute in the ratio to get 5/((5*3) + X) = 5/(5+X) = 5/15, simplifying X to be 13.
So, the value of X is 13.
Correct Answer: Option 3 - 13
By: Parvesh Mehta ProfileResourcesReport error
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